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Finding the Third Proportional to 372,680 and 827,920

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Solution

The third proportional to 372,680 and 827,920 is: 1,839,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,680 : 827,920 = 827,920 : x
  2. Step 2: Convert to fraction form
    372,680/827,920 = 827,920/x
  3. Step 3: Cross multiply
    372,680x = 827,920 × 827,920
  4. Step 4: Simplify right side
    372,680x = 685,451,526,400
  5. Step 5: Solve for x
    x = 685,451,526,400/372,680
  6. Step 6: Final answer
    x = 1,839,249.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.